# How do you simplify 7/12 + 4/5?

Jun 6, 2016

First of all you have to evaluate the common denominator between 12 and 5 searching the minimum comune multiple.
Those numbers do not have any common factor so the MCM is $12 \cdot 5 = 60$

Then you have for the first fraction $\frac{60}{12} = 5$ to multiply for the numerator. For the second fraction you have $\frac{60}{5} = 12$ to multiply for the numerator.

$\frac{7}{12} + \frac{4}{5} = \left(7 \cdot \frac{5}{60}\right) + \frac{12 \cdot 4}{60}$

$= \frac{35}{60} + \frac{48}{60}$

now you can sum the numerators

$\frac{35}{60} + \frac{48}{60}$

$= \frac{35 + 48}{60}$

$= \frac{83}{60}$.